205461 has 12 divisors (see below), whose sum is σ = 305292. Its totient is φ = 133056.

The previous prime is 205453. The next prime is 205463. The reversal of 205461 is 164502.

It is a happy number.

205461 is a `hidden beast` number, since 205 + 461 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 119025 = 294^2 + 345^2 .

It is not a de Polignac number, because 205461 - 2³ = 205453 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205461.

It is not an unprimeable number, because it can be changed into a prime (205463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (25441).

2²⁰⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

205461 is a deficient number, since it is larger than the sum of its proper divisors (99831).

205461 is a wasteful number, since it uses less digits than its factorization.

205461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205461 is about 453.2780603559. The cubic root of 205461 is about 59.0078511050.

Adding to 205461 its reverse (164502), we get a palindrome (369963).

It can be divided in two parts, 205 and 461, that added together give a palindrome (666).

The spelling of 205461 in words is "two hundred five thousand, four hundred sixty-one".